Astronomers, who are interested in finding life elsewhere in the Universe, are searching for planets orbiting other stars. A planet will be too small to see, but still can cause a star to appear to wobble as the planet orbits it. One such wobbling star is 47 Ursae Majoris, which has a mass of 2.2 × 1030 kg. The period of its wobble is 9.2 × 107 s. From the wobble, the astronomers deduced that there is a planet of mass 4.5 × 1027 kg orbiting 47 Ursae Majoris with a force on the star due to this planet is about 7 × 1024 N. A) calculate the orbital distance of the planet from Ursae Majoris.

B) the star is orbiting about the centre of mass of the star/planet system. Calculate the speed of the star in its orbit.

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